Spectral factorization of 2-block Toeplitz matrices and refinement equations

DOI10.1090/S1061-0022-07-00963-6zbMath1132.65030OpenAlexW1941811862MaRDI QIDQ5442125

Vladimir Yu. Protasov

Publication date: 15 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-07-00963-6

zbMATH Keywords

waveletssubdivisioninvariant subspacesrefinement equationrefinable functionsmatrix factorizationcascade algorithmsspectral resolutionToeplitz-matrices

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for wavelets (65T60)

Related Items (10)

Complete characterization of the regions of \(C^2\) and \(C^3\) convergence of combined ternary 4-point subdivision schemes ⋮ Matrix semigroups with constant spectral radius ⋮ Convergence analysis of \(C^{2}\) Hermite interpolatory subdivision schemes by explicit joint spectral radius formulas ⋮ The Euler binary partition function and subdivision schemes ⋮ Newman cyclotomic polynomials, refinable splines and the Euler binary partition function ⋮ Subdivision schemes on the dyadic half-line ⋮ Surface Dimension, Tiles, and Synchronizing Automata ⋮ Regularity of non-stationary subdivision: a matrix approach ⋮ Interpolating \(m\)-refinable functions with compact support: the second generation class ⋮ Regularity of anisotropic refinable functions

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